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Finding the Fourth Proportional to 17,683.15, 24,402.26 and 9,725.38

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Solution

The fourth proportional to 17,683.15, 24,402.26 and 9,725.38 is: 13,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.15 : 24,402.26 = 9,725.38 : x
  2. Step 2: Convert to fraction form
    17,683.15/24,402.26 = 9,725.38/x
  3. Step 3: Cross multiply
    17,683.15x = 24,402.26 × 9,725.38
  4. Step 4: Simplify right side
    17,683.15x = 237,321,202.73
  5. Step 5: Solve for x
    x = 237,321,202.73/17,683.15
  6. Step 6: Final answer
    x = 13,420.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.